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12982060 = 22572131019
BaseRepresentation
bin110001100001…
…011100101100
3220102120001001
4301201130230
511310411220
61142130044
7215226400
oct61413454
926376031
1012982060
117367683
124420924
1328c6cc0
141a1d100
15121680a
hexc6172c

12982060 has 72 divisors (see below), whose sum is σ = 34186320. Its totient is φ = 4104576.

The previous prime is 12982049. The next prime is 12982063. The reversal of 12982060 is 6028921.

It is a happy number.

12982060 is a nontrivial binomial coefficient, being equal to C(5096, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12982063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12231 + ... + 13249.

It is an arithmetic number, because the mean of its divisors is an integer number (474810).

Almost surely, 212982060 is an apocalyptic number.

12982060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12982060 is the 5095-th triangular number and also the 2548-th hexagonal number.

12982060 is the 1699-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12982060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093160).

12982060 is an abundant number, since it is smaller than the sum of its proper divisors (21204260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12982060 is a wasteful number, since it uses less digits than its factorization.

12982060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 12982060 is about 3603.0625861897. The cubic root of 12982060 is about 235.0252575840.

The spelling of 12982060 in words is "twelve million, nine hundred eighty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1019 1274 1820 2038 2548 3185 4076 5095 6370 7133 10190 12740 13247 14266 20380 26494 28532 35665 49931 52988 66235 71330 92729 99862 132470 142660 185458 199724 249655 264940 370916 463645 499310 649103 927290 998620 1298206 1854580 2596412 3245515 6491030 12982060